On the rationality of Kawamata log terminal singularities in positive characteristic

Christopher Hacon; Jakub Witaszek

doi:10.14231/AG-2019-023

On the rationality of Kawamata log terminal singularities in positive characteristic

Christopher Hacon
, Jakub Witaszek

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We show that there exists a natural number p₀ such that any three-dimensional Kawamata log terminal singularity defined over an algebraically closed field of characteristic p > p₀ is rational and in particular Cohen-Macaulay.

Original language	English (US)
Pages (from-to)	516-529
Number of pages	14
Journal	Algebraic Geometry
Volume	6
Issue number	5
DOIs	https://doi.org/10.14231/AG-2019-023
State	Published - Sep 1 2019
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

Keywords

Kawamata log terminal singularities
Positive characteristic
Rational singularities

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10.14231/AG-2019-023

Cite this

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abstract = "We show that there exists a natural number p0 such that any three-dimensional Kawamata log terminal singularity defined over an algebraically closed field of characteristic p > p0 is rational and in particular Cohen-Macaulay.",

keywords = "Kawamata log terminal singularities, Positive characteristic, Rational singularities",

author = "Christopher Hacon and Jakub Witaszek",

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year = "2019",

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doi = "10.14231/AG-2019-023",

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T1 - On the rationality of Kawamata log terminal singularities in positive characteristic

AU - Hacon, Christopher

AU - Witaszek, Jakub

N1 - Publisher Copyright: © Foundation Compositio Mathematica 2019.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - We show that there exists a natural number p0 such that any three-dimensional Kawamata log terminal singularity defined over an algebraically closed field of characteristic p > p0 is rational and in particular Cohen-Macaulay.

AB - We show that there exists a natural number p0 such that any three-dimensional Kawamata log terminal singularity defined over an algebraically closed field of characteristic p > p0 is rational and in particular Cohen-Macaulay.

KW - Kawamata log terminal singularities

KW - Positive characteristic

KW - Rational singularities

UR - https://www.scopus.com/pages/publications/85072576451

UR - https://www.scopus.com/pages/publications/85072576451#tab=citedBy

U2 - 10.14231/AG-2019-023

DO - 10.14231/AG-2019-023

M3 - Article

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JO - Algebraic Geometry

JF - Algebraic Geometry

IS - 5

ER -

On the rationality of Kawamata log terminal singularities in positive characteristic

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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